The Kodaira dimension of spaces of rational curves on low degree hypersurfaces
| dc.creator | Starr, Jason | |
| dc.date | 2003-05-29 | |
| dc.date.accessioned | 2026-07-07T04:58:23Z | |
| dc.date.available | 2026-07-07T04:58:23Z | |
| dc.description | For a hypersurface in complex projective space $X\subset \PP^n$, we investigate the singularities and Kodaira dimension of the Kontsevich moduli spaces $\Kbm{0,0}{X,e}$ parametrizing rational curves of degree $e$ on $X$. If $d+e \leq n$ and $X$ is a general hypersurface of degree $d$, we prove that $\Kbm{0,0}{X,e}$ has only canonical singularities and we conjecture the same is true for the coarse moduli space $\kbm{0,0}{X,e}$.This investigation is motivated by the question of which Fano hypersurfaces are unirational. | |
| dc.description | 56 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305432 | |
| dc.identifier | http://arxiv.org/abs/math/0305432 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67619 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C05; 14E08 | |
| dc.title | The Kodaira dimension of spaces of rational curves on low degree hypersurfaces | |
| dc.type | text |